1. **State the problem:** We need to write the equation of a line in slope-intercept form given the slope and y-intercept. 2. **Recall the slope-intercept form:** The slope-intercept form of a line is given by: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Identify the given values:** Slope $m = -\frac{3}{4}$ Y-intercept $b = 0$ 4. **Substitute the values into the formula:** $$y = -\frac{3}{4}x + 0$$ 5. **Simplify the equation:** Since adding zero does not change the value, the equation simplifies to: $$y = -\frac{3}{4}x$$ **Final answer:** $$y = -\frac{3}{4}x$$